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12031110132200 = 2352542171109533
BaseRepresentation
bin1010111100010011011000…
…0010111011000111101000
31120121011101202021120020222
42233010312002323013220
53034104203143212300
641331003220105212
72351135060534255
oct257046602730750
946534352246228
1012031110132200
113919402023665
121423862535208
136936b4a72433
142d844764242c
1515ce54232785
hexaf1360bb1e8

12031110132200 has 48 divisors (see below), whose sum is σ = 27972872201580. Its totient is φ = 4812350952960.

The previous prime is 12031110132187. The next prime is 12031110132253. The reversal of 12031110132200 is 223101113021.

12031110132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 377912644516 + 11653197487684 = 614746^2 + 3413678^2 .

It is a super-2 number, since 2×120311101322002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10288634 + ... + 11398166.

Almost surely, 212031110132200 is an apocalyptic number.

12031110132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031110132200 is an abundant number, since it is smaller than the sum of its proper divisors (15941762069380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12031110132200 is a wasteful number, since it uses less digits than its factorization.

12031110132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163766 (or 1163757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12031110132200 its reverse (223101113021), we get a palindrome (12254211245221).

The spelling of 12031110132200 in words is "twelve trillion, thirty-one billion, one hundred ten million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 54217 108434 216868 271085 433736 542170 1084340 1109533 1355425 2168680 2219066 2710850 4438132 5421700 5547665 8876264 10843400 11095330 22190660 27738325 44381320 55476650 110953300 221906600 60155550661 120311101322 240622202644 300777753305 481244405288 601555506610 1203111013220 1503888766525 2406222026440 3007777533050 6015555066100 12031110132200